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2011-05-27
A Hybrid Higher Order FDTD Scheme for Modeling Radar Cross Section of Electrically Large Targets
By
Progress In Electromagnetics Research M, Vol. 18, 143-157, 2011
Abstract
This paper proposes a hybrid higher order finite difference time domain (FDTD) scheme that combines the classical FDTD scheme and the higher order FDTD scheme with second order accuracy in time and fourth order accuracy in space for analyzing the three-dimensional electrically large scattering problems. The classical FDTD stencils were used as buffers in the scattered field region to make the higher order FDTD stencils not intrude inside the absorbing boundary condition's regions. The superior performance of the hybrid higher order FDTD scheme has been compared with the classical FDTD one. Numerical results demonstrate that the proposed scheme would improve the accuracy and save the computer resources significantly compared to the classical FDTD scheme involved in the radar cross section (RCS) calculation. The obtained computational efficiency allows this proposed scheme to model the RCS of electrically large targets using the number of higher order FDTD cells which are much less than that of the classical FDTD cells required by three-dimensional FDTD scheme.
Citation
Xia Ai Yiping Han Zhuyang Chen Xiao-Wei Shi , "A Hybrid Higher Order FDTD Scheme for Modeling Radar Cross Section of Electrically Large Targets," Progress In Electromagnetics Research M, Vol. 18, 143-157, 2011.
doi:10.2528/PIERM11042904
http://www.jpier.org/PIERM/pier.php?paper=11042904
References

1. Ishimaru, A. and Ed., Wave Propagation and Scattering in Random Media, 2nd edition, Academic, New York, 1978.

2. Yee, K. S., "Numerical solution of initial boundary value problems involving Maxwell's equations in isotropic media," IEEE Transactions on Antennas and Propagation, Vol. 14, 302-307, 1966.
doi:10.1109/TAP.1966.1138693

3. Taflove, A. and S. Hagness, Computational Electromagnetics: The Finite-difference Time-domain Method, 3nd Edition, Artech House, Boston, MA, 2005.

4. Taflove, A., K. R. Umashankar, and T. G. Jurgens, "Validation of FDTD modeling of the radar cross-section of three-dimensional structures spanning up to 9 wavelengths," IEEE Transactions on Antennas and Propagation, Vol. 33, 662-666, 1985.
doi:10.1109/TAP.1985.1143644

5. Li, X., A. Taflove, and V. Backman, "Modified FDTD near-to-far-field transformation for improved backscattering calculation of strongly forward-scattering objects," IEEE Antennas and Wireless Propagation Letters, Vol. 4, 35-38, 2005.
doi:10.1109/LAWP.2005.845038

6. Umashankar, K. R. and A. Taflove, "A novel method to analyze electromagnetic scattering of complex objects," IEEE Transactions on Electromagnetic Compatibility, Vol. 24, 397-405, 1982.
doi:10.1109/TEMC.1982.304054

7. Shlager, K. L. and J. B. Schneider, "Comparison of the dispersion properties of several low-dispersion finite-difference time-domain algorithms," IEEE Transactions on Antennas and Propagation, Vol. 51, 642-653, 2003.
doi:10.1109/TAP.2003.808532

8. Nehrbass, J. W., J. O. Jevtc, and R. Lee, "Reducing the phase error for finite-difference methods without increasing the order," IEEE Transactions on Antennas and Propagation, Vol. 46, 1194-1201, 1998.
doi:10.1109/8.718575

9. Cole, J. B., "High-accuracy realization of the Yee algorithm using non-standard finite differences," IEEE Transactions on Microwave Theory and Techniques, Vol. 45, 991-996, 1997.
doi:10.1109/22.588615

10. Kim, W.-T., I.-S. Koh, and J.-G. Yook, "3D isotropic dispersion (ID)-FDTD algorithm: Update equation and characteristics analysis," IEEE Transactions on Antennas and Propagation, Vol. 58, 1251-1259, 2010.
doi:10.1109/TAP.2010.2041311

11. Lan, K., Y. Liu, and W. Lin, "Higher order (2, 4) scheme for reducing dispersion in FDTD algorithm," IEEE Transactions on Electromagnetic Compatibility, Vol. 41, 160-165, 1999.
doi:10.1109/15.765109

12. Georgakopoulos, S. V., C. R. Birtcher, C. A. Balanis, and R. A. Renaut, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration. Part 1: Theory," IEEE Antennas and Propagation Magazine, Vol. 44, 134-142, 2002.
doi:10.1109/74.997945

13. Georgakopoulos, S. V., C. R. Birtcher, and C. A. Balanis, "Higher-order finite-difference schemes for electromagnetic radiation, scattering, and penetration, Part 2: Applications," IEEE Antennas and Propagation Magazine, Vol. 44, 92-101, 2002.
doi:10.1109/MAP.2002.1003639

14. Abd El-Raouf, H. E., E. A. El-Diwani, A. E.-H. Ammar, and F. El-Hefnawi, "A low-dispersion 3-D second-order in time fourth- order in space FDTD scheme (M3d24)," IEEE Transactions on Antennas and Propagation, Vol. 52, 1638-1646, 2004.
doi:10.1109/TAP.2004.831286

15. Zygiridis, T. T. and T. D. Tsiboukis, "Low-dispersion algorithms based on the higher order (2, 4) FDTD method," IEEE Transactions on Microwave Theory and Techniques, Vol. 52, 1321-1327, 2004.
doi:10.1109/TMTT.2004.825695

16. Zygiridis, T. T. and T. D. Tsiboukis, "A dispersion-reduction scheme for the higher order (2, 4) FDTD method," IEEE Transactions on Magnetics, Vol. 40, 1464-1467, 2004.
doi:10.1109/TMAG.2004.824779

17. Hadi, M. F. and S. F. Mahmoud, "A high-order compact- FDTD algorithm for electrically large waveguide analysis," IEEE Transactions on Antennas and Propagation, Vol. 56, 2589-2598, 2008.
doi:10.1109/TAP.2008.927545

18. Georgakopoulos, S. V. and R. A. Renaut, "A hybrid forth-order FDTD utilizing a second-order FDTD subgrid," IEEE Microwave and Wireless Components Letters, Vol. 11, 462-464, 2001.
doi:10.1109/7260.966042

19. Fang, J., "Time domain finite difference computation for Maxwell's equations,", Ph.D. Dissertation, University of California, Berkeley, CA, USA, 1989.

20. Hadi, M. F., "A finite volumes-based 3-D low dispersion FDTD algorithm," IEEE Transactions on Antennas and Propagation, Vol. 55, 2287-2293, 2007.
doi:10.1109/TAP.2007.901996

21. Berenger, J. P., "A perfectly matched layer for the absorption of electromagnetic waves," Journal of Computional Physics, Vol. 114, 185-200, 1994.
doi:10.1006/jcph.1994.1159

22. Zygiridis, T. T. and T. D. Tsiboukis, "Development of higher order FDTD schemes with controllable dispersion error," IEEE Transactions on Antennas and Propagation, Vol. 53, 2952-2960, 2005.
doi:10.1109/TAP.2005.854559

23. Hadi, M. F. and M. Piket-May, "Modified FDTD (2, 4) scheme for modeling electrically large structures with high-phase accuracy," IEEE Transactions on Antennas and Propagation, Vol. 45, 254-264, 1997.
doi:10.1109/8.560344

24. Ogurtsov, S. and S. V. Georgakopoulos, "FDTD schemes with minimal numerical dispersion," IEEE Transactions on Advanced Packaging, Vol. 32, 199-204, 2009.
doi:10.1109/TADVP.2008.2008100

25. Hadi, M. F. and R. K. Dib, "Phase-matching the hybrid FV24/S22 FDTD algorithm," Progress In Electromagnetics Research, Vol. 72, 307-323, 2007.
doi:10.2528/PIER07031601